131761286465760 has 2688 divisors, whose sum is σ = 561244258713600. Its totient is φ = 29189486592000.

The previous prime is 131761286465747. The next prime is 131761286465761. The reversal of 131761286465760 is 67564682167131.

131761286465760 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 6 + 12 + 8 + 6 + 46 + 576 + 0 = 666.

It is a super-2 number, since 2×131761286465760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131761286465761) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 328581761560 + ... + 328581761960.

It is an arithmetic number, because the mean of its divisors is an integer number (208796227200).

Almost surely, 2^{131761286465760} is an apocalyptic number.

131761286465760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131761286465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280622129356800).

131761286465760 is an abundant number, since it is smaller than the sum of its proper divisors (429482972247840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131761286465760 is an equidigital number, since it uses as much as digits as its factorization.

131761286465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 131761286465760 in words is "one hundred thirty-one trillion, seven hundred sixty-one billion, two hundred eighty-six million, four hundred sixty-five thousand, seven hundred sixty".